WARM UP
Simplify each expression so that you only have positive exponents.
How are these different?
Solve the equation.
x =
Solve the equation.
x =
(two different solutions)
Solve the radical equation.
x =
Solve the radical equation.
x =
Solve the radical equation.
Isolate the radical before squaring.
x =
Solve the radical equation.
Isolate the radical before squaring.
x =
Always check your answer. Plug your solution back into the equation to be sure it works.
Does your solution work?
Solve the radical equation.
Isolate the radical before squaring.
x =
Always check your answer. Plug your solution back into the equation to be sure it works.
Does your solution work?
Solve the radical equation.
Isolate the radical before squaring.
x =
Always check your answer. Plug your solution back into the equation to be sure it works.
Does your solution work?
You get an answer, but it doesn't work. This is called an extraneous solution.
Solve the radical equation.
x =
Solve for x.
x =
This equation has extraneous solutions. They are
Solve for x.
The solution is x =
The extraneous solution is
Solve the cube root.
x =